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LCM of 870, 410, 810, 440, 784

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 870, 410, 810, 440, 784 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 870, 410, 810, 440, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 870,410,810,440,784

Given numbers are 870,410,810,440,784

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 870,410,810,440,784 is 4152844080.

Find LCM of 870,410,810,440,784 with Prime Factorization


2 870, 410, 810, 440, 784
2 435, 205, 405, 220, 392
2 435, 205, 405, 110, 196
3 435, 205, 405, 55, 98
5 145, 205, 135, 55, 98
29, 41, 27, 11, 98

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 5 x 29 x 41 x 27 x 11 x 98 = 4152844080

Therefore, the lowest common multiple of 870,410,810,440,784 is 4152844080.

LCM Formula to Find Lowest Common Multiple of 870,410,810,440,784

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

870 x 410 x 810 x 440 x 784 = 99668257920000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

410 : 1, 2, 5, 10, 41, 82, 205, 410

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,410,810,440,784, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

410:2x 5x 41

810:2x 3x 3x 3x 3x 5

440:2x 2x 2x 5x 11

784:2x 2x 2x 2x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 5x 5x 5 = 12000

Therefore, the value for common factors is 12000.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 99668257920000/(2x12000)

LCM = 99668257920000/24000

LCM = 4152844080

Thus, we can understand that the LCM of 870,410,810,440,784 is 4152844080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 870, 410, 810, 440, 784

1. What is the LCM of 870, 410, 810, 440, 784?

Answer: LCM of 870, 410, 810, 440, 784 is 4152844080.

2. How to calculate the LCM of 870, 410, 810, 440, 784?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 870, 410, 810, 440, 784.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.